How many different 10 letter words (real or imaginary) can be formed from the following letters H,T,G,B,X,X,T,L,N,J

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How many different 10 letter words (real or imaginary) can be formed from the following letters  H,T,G,B,X,X,T,L,N,J

timbalemX · Accepted Answer

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Jeffrey Jordon · Accepted Answer

So we have, the following letters.H,T,G,B,X,X,T,L,N,JFrom the letters above, a variety of 10 letter words can be created.Number of letters in the word = 10The number of repetitions of the letters in the respective word =2!2!Remember the equation,The total number of words in a given letters&amp;nbsp;=n!a!b!Here n= Number of letters in the word&amp;nbsp;&quot;n&quot;=10a=2!&amp;nbsp;(Letter T repeating 2 times)b=2!&amp;nbsp;(Letter X repeating 2 times)Therefore, total number of words&amp;nbsp;=102!2!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅1(2⋅1)(2⋅1)=907200Then, the total number of word is 907 200&amp;nbsp;

karton · Accepted Answer

The total number of different 10-letter words is given by the formula:10!2!·2! where 10! represents the factorial of 10 (10 factorial), and 2! accounts for the repeated permutations of the letter X and the repeated permutations of the letter T.By simplifying the expression, we get:10·9·8·7·6·5·4·3·2·12·1·2·1=90,720Therefore, there are 90,720 different 10-letter words that can be formed from the given letters.

alenahelenash · Accepted Answer

The number of different 10-letter words that can be formed from the given letters &#039;&#039;H, T, G, B, X, X, T, L, N, J&#039;&#039; can be calculated using the concept of permutations.We have a total of 10 letters, but there are two repeated letters (X and T). So, we need to take into account these repetitions while calculating the permutations.To find the number of permutations, we can use the formula:n!n1!·n2!·n3!·...Where:- n is the total number of items (10 in this case).- n1,n2,n3, etc., represent the number of repetitions of each item.In this case, we have:- n=10 (total letters)- n1=2 (number of X&#039;s)- n2=2 (number of T&#039;s)Substituting the values into the formula, we get:10!2!·2!

user_27qwe · Accepted Answer

Answer: 3,628,800Explanation:The total number of letters we have is 10. Let&#039;s denote this as n.We can use the formula for permutations of n objects taken r at a time:P(n,r)=n!(n−r)!In our case, n is 10 (the total number of letters), and r is also 10 (since we want to form 10-letter words).Substituting these values into the formula, we get:P(10,10)=10!(10−10)!Simplifying further:P(10,10)=10!0!Since 0! is equal to 1, we can simplify again:P(10,10)=10!1Now we can calculate the value of 10!:10!=10×9×8×7×6×5×4×3×2×110!=3,628,800Therefore, the total number of different 10-letter words that can be formed using the given letters is 3,628,800.

How many different 10 letter words (real or imaginary) can be formed from the following letters H,T,G,B,X,X,T,L,N,J

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